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And this ever re-arising need of making the earlier half elapse first leaves time with always something to do before the last thing is done, so that the last thing never gets done. Expressed in bare numbers, it is like the convergent series 1/2 plus 1/4 plus 1/8..., of which the limit is one.

The bishop wandered along the platform to its end, and stood contemplating the convergent ways that gather together beyond the station and plunge into the hillside and the wilderness of sidings and trucks, signal-boxes, huts, coal-pits, electric standards, goods sheds, turntables, and engine-houses, that ends in a bluish bricked-up cliff against the hill.

The batteries now were playing on them from front, flank, and rear; as they drew nearer the city they presented a fairer mark for the convergent fire; the guns dealt death and destruction out by wholesale on that dense, struggling mass of men in that accursed hole, where there was no escape from the bursting shells.

It is generally more or less awkward when a young man and maiden between whom is no convergent rush of spiritual currents, find themselves alone together.

These are driven forward to the ground, so that the rear of each is turned inward the reverse of what was observed in bringing the others into place and the double-curve which before was constantly diverging, now becomes convergent.

By the time we are half-way along the street the whole city seems in wild tumult. Men rush ahead, peer into my face, deliver themselves of the above-mentioned peculiar squeak, and run hastily down some convergent alley-way. Stall-keepers quickly gather up their wares, and shop-keepers frantically snatch their goods inside as they hear the tumult and see the mob coming down the street.

I have never advocated exclusively either a concentric or eccentric system. All my works go to show the eternal influence of principles, and to demonstrate that operations to be successful must be applications of principles. Divergent or convergent operations may be either very good or very bad: all depends on the situation of the respective forces.

Collingwood noted that this disposition facilitated a convergent fire upon the assailants, the heads of whose columns were bearing down on the allied centre; it does not seem to have been remarked that the two horns, or wings, being to windward of the centre, also had it more in their power to support the latter a consideration of very great importance.

But "many different images, borrowed from very different orders of things, can, by their convergent action, direct consciousness to the precise point where there is a certain intuition to be seized.

The psychic evolution of social groups is divergent so long as isolation is fairly complete, but becomes convergent in proportion to association. Perfect association produces complete psychic unity, though it should be noted that perfect association of geographically separated social groups is practically unattainable.